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Chapter 3: Q3.5 CYL (page 137)

A prospector panning for gold in the river collects 15g of pure gold. How many Au atoms are there in this quantity of gold?

Short Answer

Expert verified

4.586 x 1022 Au atoms are present in 15g of pure gold.

Step by step solution

01

Step 1- Given data

Mass of gold collected by prospector= 15g

02

Step 2- Calculating gold atoms

In one mole of gold, there are 6.022 x 10223 atoms

The atomic weight of gold is 196.66 so 1 mole of gold is 196.966g

So, no of moles in 15g of pure gold = 15/196.966

=0.076155 moles

Now number of molecules = no. of moles x 6.022 x 1023

= 0.076155 x 6.022 x 1023

=0.45860 x 1023 or 4.586 x 1022

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